The chance of an IRS audit for a tax return reporting more than 25,000 in income is about 2% per year. We are interested in the expected number of audits a person with that income has in a 20 year. Period assume each year is independent. a. give the distribution of X. X~B(__,__) b. how many audits are expected in a 20 year period? c. find the probability that a person is not audited at all.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
The chance of an IRS audit for a tax return reporting more than 25,000 in income is about 2% per year. We are interested in the expected number of audits a person with that income has in a 20 year. Period assume each year is independent.
a. give the distribution of X. X~B(__,__)
b. how many audits are expected in a 20 year period?
c. find the
d. find the probability that a person is all the dead more than twice.
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